Finite Group Databasebeta

← Group #11789906

Character table — Group #11789906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666636666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444666612121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−ii−iii−i−i
χ1011-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii−ii−i−iii
χ1111-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−ii−ii−i−iii
χ1211-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−ii−iii−i−i
χ1311-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiii−ii−i−i−iii
χ1411-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−ii−iiii−i−i
χ1511-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−ii−iiii−i−i
χ1611-111-1-1-1111-11-111-1-11-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1−iii−i-1-11111-1-1−i−iiiii−i−ii−ii−i−i−iii
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ19222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ20222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ21222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-20000-1-1-1-111110000000000000000
χ22222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-22200001111-1-1-1-10000000000000000
χ2322222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2522222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-2-200000000-1-1-1-1111100000000
χ2622222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-222000000001111-1-1-1-100000000
χ2722-222-2-2-222-22-2222-2-22-2-2-2-222-2-22222-2-2-2-220000-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ2822-222-2-2-222-22-2222-2-22-2-2-2-222-2-22222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ2922-222-2-2-22-12-22-222-2-2-111112-1-2-2-1-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-22-20000-1-111-1-1110000000000000000
χ3022-222-2-2-22-12-22-222-2-2-111112-1-2-2-1-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-22-22000011-1-111-1-10000000000000000
χ3122-222-2-2-22-12-22-222-2-2-111112-1-2-2-1-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12-2-220000-1-11111-1-10000000000000000
χ3222-222-2-2-22-12-22-222-2-2-111112-1-2-2-1-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-222-2000011-1-1-1-1110000000000000000
χ3322-222-2-2-2-122-22-2-1-1112-2-2-2-2-12112-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ3422-222-2-2-2-122-22-2-1-1112-2-2-2-2-12112-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ3522-222-2-2-2-122-22-2-1-1112-2-2-2-2-12112-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ3622-222-2-2-2-122-22-2-1-1112-2-2-2-2-12112-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ372-222-22-2-2222-2-22-2-22-2-222-2-2222-2-22-2-222-2-222i−2i2i−2i222-22-22222-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ382-222-22-2-2222-2-22-2-22-2-222-2-2222-2-22-2-222-2-22−2i2i−2i2i222-22-22222-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ392-222-22-2-222-222-2-2-22-2-222-2-2222-2-22-2-222-2-220000-2-2-22-22-2-2-2-22222220000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ402-222-22-2-222-222-2-2-22-2-222-2-2222-2-22-2-222-2-220000-2-2-22-22-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ412-222-22-2-22-12-2-22-2-22-21-1-1112-12-21-111-1-111-12i−2i2i−2i2-12-2-11-1-1-1-111-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3i3−i3i33−33−30000000000000000
χ422-222-22-2-22-12-2-22-2-22-21-1-1112-12-21-111-1-111-12i−2i2i−2i2-12-2-11-1-1-1-111-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii00000000i3−i3i3−i3−33−330000000000000000
χ432-222-22-2-22-12-2-22-2-22-21-1-1112-12-21-111-1-111-1−2i2i−2i2i2-12-2-11-1-1-1-111-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i3i3−i3i3−33−330000000000000000
χ442-222-22-2-22-12-2-22-2-22-21-1-1112-12-21-111-1-111-1−2i2i−2i2i2-12-2-11-1-1-1-111-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i00000000i3−i3i3−i33−33−30000000000000000
χ452-222-22-2-2-122-2-2211-11-222-2-2-12-11-2-111-1-111-12i−2i2i−2i-12-112-2-1-1-1-1111-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−i3i3−i3i33−33−300000000
χ462-222-22-2-2-122-2-2211-11-222-2-2-12-11-2-111-1-111-12i−2i2i−2i-12-112-2-1-1-1-1111-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000i3−i3i3−i3−33−3300000000
χ472-222-22-2-2-122-2-2211-11-222-2-2-12-11-2-111-1-111-1−2i2i−2i2i-12-112-2-1-1-1-1111-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−i3i3−i3i3−33−3300000000
χ482-222-22-2-2-122-2-2211-11-222-2-2-12-11-2-111-1-111-1−2i2i−2i2i-12-112-2-1-1-1-1111-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000i3−i3i3−i33−33−300000000
χ492-2-22-2-2222222-2-2-2-2-22-2-2-22222-22-22-2-2-2-22222i−2i−2i2i22-22-2222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ502-2-22-2-2222222-2-2-2-2-22-2-2-22222-22-22-2-2-2-2222−2i2i2i−2i22-22-2222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ512-2-22-2-22222-2-222-2-2-22-2-2-22222-22-22-2-2-2-22220000-2-22-22-2-2-222-2-222220000000000000000000000000000000000000000000000000000000000002-2-22
χ522-2-22-2-22222-2-222-2-2-22-2-2-22222-22-22-2-2-2-22220000-2-22-22-2-2-222-2-22222000000000000000000000000000000000000000000000000000000000000-222-2
χ532-2-22-2-2222-122-2-2-2-2-22111-1-12-1-221-11111-1-1-12i−2i−2i2i2-1-221-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i3i3i3−i33−3−330000000000000000
χ542-2-22-2-2222-122-2-2-2-2-22111-1-12-1-221-11111-1-1-12i−2i−2i2i2-1-221-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i00000000i3−i3−i3i3−333−30000000000000000
χ552-2-22-2-2222-122-2-2-2-2-22111-1-12-1-221-11111-1-1-1−2i2i2i−2i2-1-221-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3i3i3−i3−333−30000000000000000
χ562-2-22-2-2222-122-2-2-2-2-22111-1-12-1-221-11111-1-1-1−2i2i2i−2i2-1-221-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii00000000i3−i3−i3i33−3−330000000000000000
χ572-2-22-2-222-1222-2-2111-1-2-2-222-121-1-2-11111-1-1-12i−2i−2i2i-121-1-22-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i00000000000000003−3−33i3−i3−i3i300000000
χ582-2-22-2-222-1222-2-2111-1-2-2-222-121-1-2-11111-1-1-12i−2i−2i2i-121-1-22-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−333−3−i3i3i3−i300000000
χ592-2-22-2-222-1222-2-2111-1-2-2-222-121-1-2-11111-1-1-1−2i2i2i−2i-121-1-22-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000000000003−3−33−i3i3i3−i300000000
χ602-2-22-2-222-1222-2-2111-1-2-2-222-121-1-2-11111-1-1-1−2i2i2i−2i-121-1-22-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−333−3i3−i3−i3i300000000
χ61444444444-2-4-4-4-44444-2-2-2-2-24-244-2-2-2-2-2-2-2-2-20000-42-4-422222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-2-2-2-244444-24-2-24-2-2-2-2-2-2-2-200002-422-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ67444-4-4-44-44400004-44444-44-4-4-4-4-4-444-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ68444-4-4-44-44-200004-444-2-22-22-42-4-42-2-22-22-2220000000000000000000000006−66−66−66−66−66−600006−66−66−66−66−66−600000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.